# REDUCING RATIONAL EXPRESSIONS TO LOWEST TERMS WORKSHEET

A rational expression p (x) /q (x) is said to be in its lowest form if GCD (p(x), q(x)) = 1.

To reduce a rational expression to its lowest form, follow the given steps

(i) Factorize the numerator and the denominator

(ii) If there are common factors in the numerator and denominator, cancel them.

(iii) The resulting expression will be a rational expression in its lowest form.

(1)  Reduce each of the following rational expressions to its lowest form.

(i)  (x2 - 1) / (x2 + x)      Solution

(ii)  (x2 - 11x + 18)/(x2 - 4x + 4)     Solution

(iii)  (9x2 + 81x) / (x3 + 8x2 - 9x)     Solution

(iv)  (p2 - 3p - 40)/(2p3-24p2+64p)

(2)  Find the excluded values, if any of the following expressions.

(i)  y/(y2 - 25)             Solution

(ii)  t/(t2 - 5t + 6)       Solution

(iii)  (x2 + 6x + 8)/(x2 + x - 2)       Solution

(iv)  (x3 - 27) / (x3 + x2 - 6x)      Solution

Apart from the stuff given aboveif you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

## Recent Articles

1. ### Problems on Trigonometric Identities with Solutions

Mar 03, 24 08:27 PM

Problems on Trigonometric Identities with Solutions

2. ### Solved Problems on Binomial Expansion

Mar 03, 24 10:46 AM

Solved Problems on Binomial Expansion